164505164153 has 16 divisors (see below), whose sum is σ = 182034179712. Its totient is φ = 147406224000.

The previous prime is 164505164141. The next prime is 164505164177. The reversal of 164505164153 is 351461505461.

164505164153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164505164153 - 2²⁶ = 164438055289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164505164153.

It is not an unprimeable number, because it can be changed into a prime (164505164753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3303125 + ... + 3352557.

It is an arithmetic number, because the mean of its divisors is an integer number (11377136232).

Almost surely, 2^164505164153 is an apocalyptic number.

It is an amenable number.

164505164153 is a deficient number, since it is larger than the sum of its proper divisors (17529015559).

164505164153 is a wasteful number, since it uses less digits than its factorization.

164505164153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53776.

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 164505164153 in words is "one hundred sixty-four billion, five hundred five million, one hundred sixty-four thousand, one hundred fifty-three".